There is no requirement that (eq c1 c2) be true merely because (char= c1 c2) is true. While eq can distinguish two characters that char= does not, it is distinguishing them not as characters, but in some sense on the basis of a lower level implementation characteristic. If (eq c1 c2) is true, then (char= c1 c2) is also true. eql and equal compare characters in the same way that char= does.